/_1 and /_2 are supplementary angles. If m/_1=(5x-6)^(@) and m/_2=(5x-4)^(@), then find the measure of /_1. Answer:

Set up equation: Supplementary angles add up to 180 degrees. We can set up an equation where the sum of m/_1 and m/_2 is equal to 180 degrees. Calculation: (5x - 6) + (5x - 4) = 180Simplify equation: Combine like terms to simplify the equation. Calculation: 5x + 5x - 6 - 4 = 180 10x - 10 = 180Isolate variable: Add 10 to both sides of the equation to isolate the term with the variable x. Calculation: 10x - 10 + 10 = 180 + 10 10x = 190Solve for x: Divide both sides of the equation by 10 to solve for x. Calculation: 10x / 10 = 190 / 10 x = 19Find measure of angle: Now that we have the value of x, we can find the measure of /_1 by substituting x back into the expression for m/_1. Calculation: m/_1 = (5x - 6) m/_1 = (5 * 19 - 6) m/_1 = (95 - 6) m/_1 = 89 degrees

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/_1 and
/_2 are supplementary angles. If
m/_1=(5x-6)^(@) and
m/_2=(5x-4)^(@), then find the measure of
/_1.
Answer:

$\angle 1$ and $\angle 2$ are supplementary angles. If $\mathrm{m} \angle 1=(5 x-6)^{\circ}$ and $\mathrm{m} \angle 2=(5 x-4)^{\circ}$ , then find the measure of $\angle 1$ . $\newline$ Answer:

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Math Problems

Algebra 2

Transformations of functions

Full solution

\angle 1

and

\angle 2

are supplementary angles. If

\mathrm{m} \angle 1=(5 x-6)^{\circ}

and

\mathrm{m} \angle 2=(5 x-4)^{\circ}

, then find the measure of

\angle 1

\newline

Answer:

Set up equation: Supplementary angles add up to $180$ degrees. We can set up an equation where the sum of $m/_{1}$ and $m/_{2}$ is equal to $180$ degrees. $\newline$ Calculation: $(5x - 6) + (5x - 4) = 180$
Simplify equation: Combine like terms to simplify the equation. $\newline$ Calculation: $5x + 5x - 6 - 4 = 180$ $\newline$ $10x - 10 = 180$
Isolate variable: Add $10$ to both sides of the equation to isolate the term with the variable $x$ . $\newline$ Calculation: $10x - 10 + 10 = 180 + 10$ $\newline$ $10x = 190$
Solve for x: Divide both sides of the equation by $10$ to solve for x. $\newline$ Calculation: $\frac{10x}{10} = \frac{190}{10}$ $\newline$ $x = 19$
Find measure of angle: Now that we have the value of $x$ , we can find the measure of $/_1$ by substituting $x$ back into the expression for $m/_1$ . $\newline$ Calculation: $m/_1 = (5x - 6)$ $\newline$ $m/_1 = (5 \times 19 - 6)$ $\newline$ $m/_1 = (95 - 6)$ $\newline$ $m/_1 = 89$ degrees